To find the mean of a set of numbers, we find their sum and divide it by the number of terms there are.
Solving the Question
We're given:
The mean of (a + 1) + (a + 4) + (a + 7) + (a + 8) + (a + 10) is 12Find aThe sum of (a + 1) + (a + 4) + (a + 7) + (a + 8) + (a + 10) divided by 5 (because there are 5 numbers) is 12. Write this as an equation:
[tex]12=\dfrac{(a + 1) + (a + 4) + (a + 7) + (a + 8) + (a + 10)}{5}[/tex]
Simplify:
[tex]12=\dfrac{a + 1 + a + 4 + a + 7 + a + 8 + a + 10}{5}\\\\12=\dfrac{5a + 30}{5}\\\\12=a +6\\a=6[/tex]
Answera = 6
What is the LCM of 10 and four
The least common multiple of 10 and 4 is 20.
L.C.M is defined as Least Common multiple. The Least Common multiple of two numbers is the least possible number that can be divisible by both the numbers. Or, in simple words, the least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers.
We need to find the L.C.M of two numbers which are 10 and 4
First we will find out few multiples of 10 and 4which are:
multiples of 10 : 10,20,30,40,50,60,70,80.....
multiples of 4 : 4,8,12,16,20,24,28,32,36,40,......
Then we will filter out the common multiple.
common are : 20 and 40
From these two number the least number is 20.
Hence the least common multiple of 10 and 4 is 20.
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determine how many different possibilities for two-digit numbers 1,5,3,6,9
Answer:
Step-by-step explanation:
unit place can be selected in ways=5
ten's place can be selected in ways=5
total numbers=5×5=25
but if the numbers at two places is different then number of ways=5×4=20
Bro I am so tired it’s 10 pm and I literally do not know what to do for this question if any of you know what to do please solve it
Answer:
x = 1, x = 4
Step-by-step explanation:
First, let x = u^(2/3)
The problem given has a third power and also a 1.5 power. That is just oof! So choosing "u to the 2/3 power" to substitute in for x will make this equation be a straightforward quadratic that you can factor and solve.
see image.
Substitute
x = u^(2/3)
This gives you:
u^2 - 9u + 8 = 0
Factor.
(u - 1)(u - 8) = 0
Solve.
u-1 = 0 and u-8=0
u = 1 and u = 8
Substitute back into
x = u^(2/3)
x = 1^(2/3) and
x = 8^(2/3)
Remember some exponent rules and definitions. The 2 in the 2/3 will square the base number and the 3 (actually 1/3) will cuberoot the base number. See image. Hope this helps.
The sum of two numbers is 0. One of the numbers is 9.8. The other number is what?
PLS ANSWER!!!
Answer:
9. 5 is the other number in the sum of two numbers
:(
hope it will help
(4-3m)8 distributive property
x - y = 7
x - y = -1
Solve the system of equations by graphing
Answer:
There is no solution. The lines are parallel. They will never intercept. There will be no point that is on both lines.
Step-by-step explanation:
Michael is using a number line to evaluate the expression –8 – 3.
After locating –8 on the number line, which step could Michael complete to evaluate the expression?
The next step that Michael could use to evaluate the expression is count 3 units to the left of -8
Which step could Michael complete to evaluate the expression?The expression is given as
-8 - 3
The first step is given as
Locating –8 on the number line
The other term of the expression is a negative number i.e. -3
This means that Michael needs to count 3 units to the left of the first number
Hence, the next step that Michael could use to evaluate the expression is count 3 units to the left of -8
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A bottle of Vitamin E contains 100 soft gels, each containing 15 mg of vitamin E. How many total
grams of vitamin E are in this bottle?
Answer:
1.5 g are in that bottle.
Step-by-step explanation:
100 soft gels × 15 mg each = 1500 mg of vit. E
1500 mg = 1.5 g
(Adding and Subtracting with Scientific Notation MC)
Simplify (9 x 10−13) − (6.3 x 10−15).
8.937 x 10−15
8.937 x 10−13
2.7 x 10−15
2.7 x 10−13
Answer:
C) 2.7 x 10-15
Step-by-step explanation:
Sorry if I'm wrong. hope you're having a great day
The computation shows that the value of (9 x 10−13) − (6.3 x 10−15) is C. 2.7 x 10−15
How to compute the value?Simplify (9 x 10−13) − (6.3 x 10−15).
This will be solved as follows. It should be noted that one just have to subtract the values.rhat are given based on the information above.
Therefore, (9 x 10−13) − (6.3 x 10−15).
= 2.7 x 10−15
In conclusion, the correct option is C.
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about how many days did it take for the bag to be empty
Answer:4 to 5 times a day
Step-by-step explanation:
Find two factors of the first number such that their product is the first and the sum is the second for 51,20
The factors are 17 and 3.
The given conditions are two factors of the first number, 51 such that their product is 51 and the sum is the second number 20.
let say, the factors are x and y.
therefore, we can write, x.y = 51 ... (1) and x + y = 20 .... (2)
Putting the value of x from equation (2) in equation (1) we get,
(20 - y).y = 51
or, 20y - y² = 51
or, y² - 20y + 51 = 0
or, y = 17, 3
then x = 3,17
Therefore, The factors are 17 and 3.
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A robot can complete 7 tasks in 4 5 hour. Each task takes the same amount of time. a. How long does it take the robot to complete one task? b. How many tasks can the robot complete in one hour?
a. It takes the robot 4/35 hour to complete one tasks
b. The number of tasks the robot can complete in one hour is 8 3/4 tasks
ProportionFrom the question, we are to determine how long it takes the robot to complete one task
From the given information,
A robot can complete 7 tasks in 4/5 hour
If the robot can complete 7 tasks in 4/5 hour
Then,
The robot will complete 1 task in 4/5 ÷ 7 hour
4/5 ÷ 7
= 4/5 × 1/7
= 4/35
Hence, it takes the robot 4/35 hour to complete one tasks
b.
Let the number of tasks the robot can complete in one hour be x
If the robot can complete 7 tasks in 4/5 hour
Then,
The robot will complete x tasks in 1 hour
4/5 × x = 7 × 1
4/5 × x = 7
4 × x = 7 × 5
4x = 35
x = 35/4
x = 8 3/4
Hence, the number of tasks the robot can complete in one hour is 8 3/4 tasks
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Solve the absolute value equation or indicate that the equation has no solution. |x-5|=4
Step-by-step explanation:
bzjdfj7wirrididuwir9e8woao23893
100 points answer all don't troll, and answer them right if you know it.
last question says Which dilation has a scale factor of 1/3
Answer:
4) Larger/smaller, Size
5) Whichever are larger then the original, depends on if green or blue is original
Step-by-step explanation:
The points (-2,-1) and (6,3) are the endpoints of the diameter of a circle. Find the length of the radius of the circle.
Using the distance formula, the diameter has a length of
[tex]\sqrt{(-2-6)^2 + (-1-3)^2}=4\sqrt{5}[/tex]
The radius is half the diameter, so the answer is
[tex]\frac{4\sqrt{5}}{2}=\boxed{2\sqrt{5}}[/tex]
Random simple service of voters were taken in three different regions of a county that has a voter population of 55,000. On average 42 out of 100 voters supported issue seven and 58 oppose it estimated number of voters in the county who support the issue.
Answer: 23100 voters
Step-by-step explanation:
42*55000=2310000
2310000/100=23100 voters
make y the subject =x^(2)-2yz
The expression with the y subject is y=(x²-w)/2z.
Given that,
The expression is x²-2yz
We have to express in the y as subject
In algebraic formulations, numbers are represented by letters or alphabets without their numerical values being specified. The fundamentals of algebra taught us how to represent an unknown value using letters like x, y, and z. Here, these letters are referred to as variables. A mathematical expression may have both variables and constants. A coefficient is any value that is introduced before and increased by a variable.
Let take w= x²-2yz
2yz=x²-w
Divide the equation by 2z.
2yz/2z=(x²-w)/2z
y=(x²-w)/2z
Therefore, The expression with the y subject is y=(x²-w)/2z.
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The largest fish ever caught in lake a Weighed 651 pounds. This is 95.4 pounds less than six times the weight of the largest fish ever caught in lake B find the weight of the largest fish caught in lake b?
Answer:
124.4 pounds
Step-by-step explanation:
We have:
651 + 95.4 = 6.B
=> 746.4 = 6.B
=> B = 746.4/6
=> B = 124.4
Approximate when the function y = -x² + 3x + 4 is negative.
-2
8
9
0 x < -1
2
0 -1
0 x>4
x²+3x+4
6 x
27
4
The function y = -x² + 3x + 4 is negative when - 1 > x > 4.
A function is made up of three parts: a set of inputs, a set of outputs, and a rule that links the components of the input set to the components of the output set so that each input is paired with exactly one output.
Consider the function,
y = - x² + 3x + 4
For the function to be negative y < 0.
Therefore,
- x² + 3x + 4 < 0
- ( x² - 3x - 4 ) < 0
- ( x² - 4x + x - 4 ) < 0
- [ x ( x - 4 ) + 1 ( x - 4 ) ] < 0
- ( x + 1 ) ( x - 4 ) < 0
Multiplying by -1 on each side of the inequality.
- ( x + 1 ) ( x - 4 )(-1) > 0( - 1 )
( x + 1 ) ( x - 4 ) > 0
x < - 1 or x > 4
Therefore, the function is negative when - 1 > x > 4.
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What is the value of −7 + |−25|?
Step-by-step explanation:
the absolute value function always delivers the positive value of the internal expression, no matter if it is actually negative or already positive.
so,
|-25| = 25
therefore,
-7 + 25 = 18
Simplify the expression (-6-3i)(5+6i)
Answer:
-12 - 51i
Step-by-step explanation:
[tex]original:(-6-3i)*(5+6i)\\FOIL:(-6)(5)+(-6)(6i)+(-3)(5)+(-3i)(6i)\\Multiply:(-30)+(-36i)+(-15i)+(18i^2)\\Combine\ Like\ Terms:(-30) + (-51i)+(-18i^2)\\i^2\ =\ -1:(-30)+(-51i)+(-18)(-1)\\Multiply:(-30)+(-51i)+(18)\\Combine\ Like\ Terms:(-12) + (-51i)\\Simplify:-12-51i[/tex]
Thing to remember:
[tex]i = \sqrt{-1} \\i^2 = \sqrt{-1}*\sqrt{-1} = \sqrt{-1}^2 = -1\\i^3 = \sqrt{-1}*\sqrt{-1}*\sqrt{-1} = i^2 * i = (-1)*i = -i\\i^4 = \sqrt{-1}*\sqrt{-1}*\sqrt{-1}*\sqrt{-1} = \sqrt{-1}^2*\sqrt{-1}^2 = (-1)*(-1) = 1\\[/tex]
And all powers over 4 repeat such that [tex]i^x\ such\ that\ x\mod4 = y[/tex] is the same as [tex]i^y\\[/tex]:
i.e.:
[tex]i^6 = i^{4+2}= i^4*i^2 = 1*-1 = -1\\\\i^9 = i^{4+4+1}=i^4*i^4*i^1=(1)(1)(i) = i[/tex]
NOTE: x mod 4 simply means the remainder when x is divided by 4.
i.e.:
[tex]7\mod4 = 3\\8\mod4 = 0\\13\mod4 = 1[/tex]
Answer the question with an algebraic expression.
The perimeter of a square is m meters. How long, in centimeters, is each side of the square?
The length of the square in centimetres in algebraic expression is 25m
How to find the side length of a square?The perimeter of a square is m meters.
The length of the each side of the square in centimetres can be represented in an algebraic expression as follows:
Therefore,
perimeter of a square = 4l
where
l = side lengthTherefore,
m = 4l
where
m = perimeter of the squarel = m / 4 meters.
Therefore, the side length of the square in centimetres is as follows:
1 meters = 100 cm
m / 4 meters = ?
cross multiply
length of the square in meters = m / 4 × 100
length of the square in meters = 100m / 4
length of the square in meters = 25m
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MAT is a tangent to circle O. Use the sketch and prove the theorem that states that MAS=D
Answer:
i don't know how to attach the file
The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $5500 to rent trucks plus an additional fee of $200.25 for each ton of sugar. The second company charges $5041 to rent trucks plus an additional fee of $225.75 for each ton of sugar.
The computation shows that the tons of sugar when they'll have same price is 18 tons.
How to compute the value?The first company charges $5500 to rent trucks plus an additional fee of $200.25. Thai will be:
= 5500 + (200.25 × s)
= 5500 + 200.25s
where s = tons of sugar
The second company charges $5041 to rent trucks plus an additional fee of $225.75 for each ton of sugar. This will be:
5041 + 225.75s
Then we will equate both of them. This will be:
5500 + 200.25s = 5041 + 225.75s
5500 - 5041 = 225.75d - 200.25s
459 = 25.5s
s = 459/25.5
s = 18
At 18 tons, they'll have same price.
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The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $5500 to rent trucks plus an additional fee of $200.25 for each ton of sugar. The second company charges $5041 to rent trucks plus an additional fee of $225.75 for each ton of sugar. For want mount if sugar do they charge the same price.
Brayden is saving up to buy a new video game. He already has $25 and can save an
additional $5 per week using money from his after school job. How much total money
would Brayden have after 4 weeks of saving? Also, write an expression that represents the amount of money Brayden would have saved in w weeks.
Total savings after 4 weeks:
Total savings after w weeks:
Answer:
After 4 weeks: $45, After w weeks: 5w + 25
Step-by-step explanation:
5 per week is 20 for 4 weeks. $25 + $20 = $45.
5w is 5 times the week. +25 because he had 25 to begin with. 5w+25.
Some of the 20th century's biggest market shifts were sparked by technological breakthroughs that impacted market _____ curves.
Some of the 20th century's biggest market shifts were sparked by technological breakthroughs that impacted market supply curves.
What is the supply curve?The supply curve illustrates the relationship between the price of an item or service and the volume delivered over a specific time period.
In a typical scenario, the amount supplied will be shown on the horizontal axis and the price will be shown on the left vertical axis.
It should be noted that some of the 20th century's biggest market shifts were sparked by technological breakthroughs that impacted market supply curves.
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A small publishing company is planning to publish a new book. Let C be the total cost of publishing the book (in dollars). Let N be the number of copies of the book produced. For the first printing, the company can produce up to 200 copies of the book. Suppose that C= 10/N + 800 gives C as a function of N during the first printing. Identify the correct description of the values in both the domain and range of the function. Then, for each, choose the most appropriate set of values.
The domain is the set of all integers lying in the interval [0 , 200] and range is the set of all reals lying in the interval [800 , 2800].
What is a function?
A function defined from A to B, associates each and every element of the set A tò the element of set B. In mathematics, it is represented using the symbol, f : A -> B. Here, set A is called the domain of the function while set B is called the range of a function.
Calculation of domain and range of a given function
The domain is the set of all possible values of x. According to this question, the domain of N lies in the interval [0 , 200] i.e. all the integers lying in the given interval. Only integers are chosen because the number of books cannot be in fraction.
The range is the set of possible costs and lies in the interval [800 , 2800] i.e. all the reals lying in the given interval.
Hence, the domain is the set of all integers lying in the interval [0 , 200] and range is the set of all reals lying in the interval [800 , 2800].
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Help 50 points please show your work
Answer: 16 ft
Step-by-step explanation: The ratio given is 2ft=1in, therefore 2ft/1in=1. Multiplying anything by 1 equals itself, so multiplying 8in*(2ft/1in)=16ft where the number of inches cancel out.
What's the answer? How do you get to the answer?
scale factor of triangle is 20/7 = 2.8571 .
How can I figure out the scale factor of a triangle?To get the scale factor of two triangles, follow these steps:
1. Check that the two triangles are similar.
2-If the triangles are similar, identify the sides that match.
3. Subtract any known angle from the triangle and multiply the result by the matching (also known) angle in the second triangle.
As a result,
4- the scale factor is equalized by the division.
CALCULATION∵ To find scale factor of two triangle we divide the sides of the both sides
∴ the scale factor of triangle given will be 20/7 = 2.8571 .
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Su mei is looking at online classified ads. she finds a used cell phone for US$99 plus US$30 for shipping. The same cell phone cost C$199 new at a local store. a) what is the total cost of the used cell phone in canadian dollars. b) Do you think Su Mei should buy the cell phone online why
The total cost of the used cell phone in Canadian dollars is C$130.16.
Su Mei should buy the used cell phone because it is cheaper than the new cell phone.
Which phone should Su Mei buy?
The exchange rate is the rate at which one unit of a currency is exchanged for another currency. For example, if the exchange rate of the US dollar and the Canadian dollars is 1.00903. It means that 1 unit of the US dollar would buy 1.00903 of the Canadian dollars.
The first step is to determine the total cost of the used cell phone in US dollar. The total cost would be the sum of the used cell phone and the shipping cost.
Total cost of the used cell phone = $99 + $30 = $129
The next step is to convert the cost of the used cell phone that is priced in the US dollar to Canadian dollars.
129 x 1.00903 = $130.16
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